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Molecular diffusion between walls with adsorption and desorption

Abstract : The time dependency of the diffusion coefficient of particles in porous media is an efficient probe of their geometry. The analysis of this quantity, measured, e.g., by nuclear magnetic resonance, can provide rich information pertaining to porosity, pore size distribution, permeability, and surface-to-volume ratio of porous materials. Nevertheless, in numerous if not all practical situations, transport is confined by walls where adsorption and desorption processes may occur. In this article, we derive explicitly the expression of the time-dependent diffusion coefficient between two confining walls in the presence of adsorption and desorption. We show that they strongly modify the time-dependency of the diffusion coefficient, even in this simple geometry. We finally propose several applications, from sorption rates measurements to the use as a reference for numerical implementations for more complex geometries.
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https://hal.sorbonne-universite.fr/hal-01308797
Contributor : Maximilien Levesque <>
Submitted on : Thursday, April 28, 2016 - 2:33:21 PM
Last modification on : Tuesday, December 8, 2020 - 3:39:28 AM

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Maximilien Levesque, Olivier Bénichou, Benjamin Rotenberg. Molecular diffusion between walls with adsorption and desorption. Journal of Chemical Physics, American Institute of Physics, 2013, 138 (3), pp.034107. ⟨10.1063/1.4775742⟩. ⟨hal-01308797⟩

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